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Finding the Fourth Proportional to 144.33, 216.16 and 105.72

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Solution

The fourth proportional to 144.33, 216.16 and 105.72 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.33 : 216.16 = 105.72 : x
  2. Step 2: Convert to fraction form
    144.33/216.16 = 105.72/x
  3. Step 3: Cross multiply
    144.33x = 216.16 × 105.72
  4. Step 4: Simplify right side
    144.33x = 22,851.09
  5. Step 5: Solve for x
    x = 22,851.09/144.33
  6. Step 6: Final answer
    x = 158.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.